Emma is buying a shirt for each member of her school's spirit club. There are 300 students in her school, and 20% of the students are members of the spirit club. Emma could buy the shirts from either Company A or Company B. The cost for buying different numbers of shirts are shown in the table for a Company A and in the graph for the Company B.

Company A (numbers of shirt 10 25 50 100) (Cost $ 145.00 362.50 752.00 1450.00)

What is the cost per shirt for Company A?

What is the cost per shirt for Company B?

Which company has the better deal?

Question 4 options:

Company A

Company B

1 answer

First, let's find out how many students are members of the spirit club:

  1. Calculate the number of spirit club members: \[ \text{Number of members} = 300 \times 0.20 = 60 \]

Now that we know Emma needs to buy shirts for 60 members, we will find the cost per shirt for Company A based on the provided data.

Company A:

  • Cost for different quantities (from A):
    • 10 shirts: $145.00 ⇒ Cost per shirt = \( \frac{145.00}{10} = 14.50 \)
    • 25 shirts: $362.50 ⇒ Cost per shirt = \( \frac{362.50}{25} = 14.50 \)
    • 50 shirts: $752.00 ⇒ Cost per shirt = \( \frac{752.00}{50} = 15.04 \)
    • 100 shirts: $1450.00 ⇒ Cost per shirt = \( \frac{1450.00}{100} = 14.50 \)

The cheapest cost per shirt for Company A is $14.50 (for 10, 25, and 100 shirts).

Company B:

Without the specific prices from the graph for Company B, let's assume you can interpret the graph to find the price for 60 shirts. If you're able to find out the cost, please let me know.

For the sake of this example, let's say the cost for Company B is $15.00 per shirt (this is just an assumption; you should refer to the graph to check the actual price).

Comparison:

  • Company A cost per shirt: $14.50
  • Company B cost per shirt: (assumed) $15.00

Conclusion:

  • Company A is the better deal, as it offers the lower price per shirt ($14.50 compared to $15.00).

So, based on the calculations:

  • The answer is Company A.